One man's telepathy is another man's acute perception of reality. Intuition is simply a way some brains work with their genetic composition and developmental (environmental) circumstances. I have had a fair share of contact with intuitive minds. I do not believe that intuition or telepathy is an indicator of intervention by immortals.
A joy of being an atheist or agnostic is being able to say simply, "I don't know." The religious feel the compulsion to explain everything inexplicable in terms of their various belief systems. For centuries, intuition was identified as devil-inspired or god-inspired by major religions. The distinction was most often made politically in favor of whomever was in power. Joan of Arc was both saint to the French and witch to the English. To a modern psychologist she may be seen as an intuitive paranoid schizophrenic. As a practical humanist, I do not have to know how vision works or why it exists in order to utilize its benefits in my practice.
In humanist practice, vision is important. As a humanist, I see and accept the world as it is, based on my understanding of science, my own inner experience and my environment. I see the pain and dysfunction of existence all around me. I also see the joy and love. My vision of how things could be better, based in universal liberation and education of human beings, is my motivation for practice. By approaching my own life as a laboratory for the actualization of that vision, I experience joy and greater understanding of myself and my environment.
Meditation is an important element of my own practice. I have found that a daily meditation of twenty minutes has strengthened my vision, in the sense of allowing me to better tap into my intuition when approaching circumstances as I encounter them. In other words, I am better equipped to quickly know what I really am about and how I really want to proceed in the context of my humanism. This is being in the now with increased perception and clarity of mind. I believe that all human beings can enhance their perception. It is not mystical. It is simply a matter of education, commitment and practice.